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Binomial Probability Distribution

A marketing poll revealed that 45% of Americans say they that they have dinner regularly as a family. You randomly choose 10 American families and ask if they regularly have dinner together as a family.

1. Does this situation meet the binomial requirements? Why or why not? Address the five conditions of a binomial distribution in the textbook.

2. What is the random variable in this problem? i.e., what does X represent and what values can it have?)

3. What is the probability that exactly 4 have regular family dinner?

4. What is the probability that 5 or fewer have regular family dinner?

5. What is the probability that at least 2 have regular family dinner?

6. What is the probability that at most 5 have regular family dinner?

7. What is the mean number of adults out of a sample of 10 that you would expect to have regular family dinner? What is the standard deviation of the distribution?

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